University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 41 - Quantum Mechanics II: Atomic Structure - Problems - Exercises - Page 1406: 41.71

Answer

Choice B.

Work Step by Step

We’re told that the distance between particles is 10 times their size. In Passage Problem BIO on page 1405, we are told that the radius of a Rydberg atom is approximately $1\;\mu m$, which means their size is $\approx 2\;\mu m$ and their separation is $\approx 20\;\mu m=20\times10^{-4}cm$. Picture each atom being in a cubical box of volume $(20\times10^{-4}cm)^3$. The particle density is the number of particles, divided by the volume they occupy. $$\frac{1\;atom}{(20\times10^{-4}cm)^3}\approx\frac{10^8 atoms}{cm^3}$$
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